{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Derivatives Analytics with Python"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**_Chapters 2 & 3_**\n",
    "\n",
    "**Wiley Finance (2015)**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/images/derivatives_analytics_front.jpg\" alt=\"Derivatives Analytics with Python\" width=\"30%\" align=\"left\" border=\"0\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Yves Hilpisch\n",
    "\n",
    "The Python Quants GmbH\n",
    "\n",
    "<a href='mailto:analytics@pythonquants.com'>analytics@pythonquants.com</a>\n",
    "\n",
    "<a href='http://pythonquants.com'>www.pythonquants.com</a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Market-Based Valuation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.simplefilter('ignore')\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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hSX9P938CzGpjf8xGdfPNsOeePJNEdt4ZFi92cd26U+OvSIBJwPrM/rr0tWeJ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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fead8899f10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%run 02_mbv/inner_value_plot.py\n",
    "plt.savefig('../images/02_mbv/call_inner_values.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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2/fprZ58qQqI8z2hQ3oUEm3Bxzc4Skf0BRKS7l6LAMAyj6pCXB0OHuuXQAIMH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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fead8553c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%run 02_mbv/BSM_value_plot.py\n",
    "plt.savefig('../images/02_mbv/call_values.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Market Stylized Facts"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Uncorrected Sample Standard Deviation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "a = np.random.standard_normal(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.97537187088466593"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "s = lambda x: np.sqrt(np.sum((x - x.mean()) ** 2) / len(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.97537187088466593"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s(a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Geometric Brownian Motion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%run 03_stf/GBM_returns.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "gbm = simulate_gbm()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RETURN SAMPLE STATISTICS\n",
      "---------------------------------------------\n",
      "Mean of Daily  Log Returns  0.000073\n",
      "Std  of Daily  Log Returns  0.012721\n",
      "Mean of Annua. Log Returns  0.018422\n",
      "Std  of Annua. Log Returns  0.201944\n",
      "---------------------------------------------\n",
      "Skew of Sample Log Returns -0.016447\n",
      "Skew Normal Test p-value    0.730950\n",
      "---------------------------------------------\n",
      "Kurt of Sample Log Returns  0.120578\n",
      "Kurt Normal Test p-value    0.206628\n",
      "---------------------------------------------\n",
      "Normal Test p-value         0.424617\n",
      "---------------------------------------------\n",
      "Realized Volatility         0.201947\n",
      "Realized Variance           0.040783\n"
     ]
    }
   ],
   "source": [
    "print_statistics(gbm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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GciuTYDA6e7AO9gKMIdYTJsT35rByJdCpU+zbp4v69TlC//jjnVVmBEEQzOj7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D8/SJSmCpkGFzMj4rEtXtZZxxy/nYYAgL3NV8rMVGKkHPvO9KJ8oKP38+aADz+MFt5OO/l957N6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\nAQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac724ba90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "quotes_returns(gbm)\n",
    "plt.savefig('../images/03_stf/GBM_quotes_returns.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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YN1eKJCyeHJZqZnaqmd1kZicDNZIdlPhH/bD+Skl9tgZqroMfDoOf2yb/eIGK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\nezni/AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac6b26250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "return_histogram(gbm)\n",
    "plt.savefig('../images/03_stf/GBM_histogram.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac505a4d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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aeP2LS9nKEyygkELuoQlzSQISgfyg7e2wW+Nv4byeR4qqXuadHDhLRC4MQz5j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\n6/yHAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac505a190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "return_qqplot(gbm)\n",
    "plt.savefig('../images/03_stf/GBM_qqplot.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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vjuHBO++EiRPjkuzrroPvfS/OsO2xB/zud/DlLzc97imnxJVb/frFz/Hxx2OY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\nRgItViQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac512d2d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "realized_volatility(gbm)\n",
    "plt.savefig('../images/03_stf/GBM_realized_volatility.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VPHCAlTT5LI8natdmK+cjj9idrJRCsAuGzGDgjePH49PCGSkfzvJy1gf27dOW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37nHUOBjYZZ4WyQQokGE9HX2kde3/vJxi33t1UaNgT+97/w2y0rnEQ0mIhGAHgcwINKqfeUUqfH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\nH4daytlAEzI/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac4fda4d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rolling_statistics(gbm)\n",
    "plt.savefig('../images/03_stf/GBM_rolling_stats.pdf')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### DAX Index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac5124f10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%run 03_stf/DAX_returns.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "DAX = read_dax_data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RETURN SAMPLE STATISTICS\n",
      "---------------------------------------------\n",
      "Mean of Daily  Log Returns  0.000348\n",
      "Std  of Daily  Log Returns  0.013761\n",
      "Mean of Annua. Log Returns  0.087656\n",
      "Std  of Annua. Log Returns  0.218449\n",
      "---------------------------------------------\n",
      "Skew of Sample Log Returns  0.025083\n",
      "Skew Normal Test p-value    0.603595\n",
      "---------------------------------------------\n",
      "Kurt of Sample Log Returns  7.205878\n",
      "Kurt Normal Test p-value    0.000000\n",
      "---------------------------------------------\n",
      "Normal Test p-value         0.000000\n",
      "---------------------------------------------\n",
      "Realized Volatility         0.218519\n",
      "Realized Variance           0.047751\n"
     ]
    }
   ],
   "source": [
    "print_statistics(DAX)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 2557 entries, 2004-10-01 to 2014-09-30\n",
      "Data columns (total 9 columns):\n",
      "Open       2557 non-null float64\n",
      "High       2557 non-null float64\n",
      "Low        2557 non-null float64\n",
      "Close      2557 non-null float64\n",
      "Volume     2557 non-null int64\n",
      "index      2557 non-null float64\n",
      "returns    2557 non-null float64\n",
      "rea_var    2557 non-null float64\n",
      "rea_vol    2557 non-null float64\n",
      "dtypes: float64(8), int64(1)\n",
      "memory usage: 199.8 KB\n"
     ]
    }
   ],
   "source": [
    "DAX.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>index</th>\n",
       "      <th>returns</th>\n",
       "      <th>rea_var</th>\n",
       "      <th>rea_vol</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2014-09-24</th>\n",
       "      <td>9661.969727</td>\n",
       "      <td>0.006952</td>\n",
       "      <td>0.047792</td>\n",
       "      <td>0.218614</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-25</th>\n",
       "      <td>9510.009766</td>\n",
       "      <td>-0.015853</td>\n",
       "      <td>0.047798</td>\n",
       "      <td>0.218628</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-26</th>\n",
       "      <td>9490.549805</td>\n",
       "      <td>-0.002048</td>\n",
       "      <td>0.047780</td>\n",
       "      <td>0.218586</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-29</th>\n",
       "      <td>9422.910156</td>\n",
       "      <td>-0.007153</td>\n",
       "      <td>0.047766</td>\n",
       "      <td>0.218555</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-30</th>\n",
       "      <td>9474.299805</td>\n",
       "      <td>0.005439</td>\n",
       "      <td>0.047751</td>\n",
       "      <td>0.218519</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  index   returns   rea_var   rea_vol\n",
       "Date                                                 \n",
       "2014-09-24  9661.969727  0.006952  0.047792  0.218614\n",
       "2014-09-25  9510.009766 -0.015853  0.047798  0.218628\n",
       "2014-09-26  9490.549805 -0.002048  0.047780  0.218586\n",
       "2014-09-29  9422.910156 -0.007153  0.047766  0.218555\n",
       "2014-09-30  9474.299805  0.005439  0.047751  0.218519"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "DAX[['index', 'returns', 'rea_var', 'rea_vol']].tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4HBVSWgrNm8OiRfbQ77UXnHNO6vurWhTO8qhd26Ze3nUX/PRT1frrcDgKi+efhw0bytYv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OtO2y6HKVPc4/3llq0RI4D99gsPstahQ2Ek3mqQRI6f/7x1houjwgGYCsfGG/u/9bTmODmiYuZ0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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac4ad4390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "quotes_returns(DAX)\n",
    "plt.savefig('../images/03_stf/DAX_quotes_returns.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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uduaKQM6q25ubpj4SPmqT6EmXsKwDBgGvm9nAxGsQoKefScnbOP/K8M0TFjNr\n9lXskgna07OfDjgSESk16RKWN4G7gOOA+xOv+4g/AFFKiMaCv+nzVZ9T+UUlXdp34aBBBzWzlzfz\nypVYDo+VvTEDx9CjYw8+Xvox1SurA4khjNRHwkdtEj3NJizu/qC7HwFc4O6HJF/oac1S4p6eFb+6\ncOiQQ+ncvnPA0RRWx3YdOWLoEQA89elTAUcjIqUkm6c1P9loWb+lSozGgr/pqVnxLjB++PgAo6gI\n7MzJ71vDQpuoj4SP2iR6srmtWUQS1m1Yt/F25vEjgkxYgpOs25lSNYXautqAoxGRUqGERTLSWPAm\nr8x7hdXrVzOq3ygG9hwYYCSxwM7cv3t/9tpmL9ZuWMtLVS8FFkeYqI+Ej9okepSwiLRAOIaDgpf8\n/pM/DxGRfDP3XN65kBtm5mGMS0qbuzP81uHMWTGH1855jTEDxzS5X/z25eb+/abblml7MMdtqi9O\nXzidfe7eh4E9B1J9QXUkbtkWkfwxM9y9Tb8odIVFJEuffvkpc1bMoU+XPuy37X5BhxOoPbfZk37d\n+vHZV5/x0dKPgg5HREqAEhbJSGPBccnhj6OGHUW7snYBRxML9OxlVrZxEjnd3qw+EkZqk+hRwiKS\npWTCMmH4hIAjCQfVsYhIIamGRSQLNetq2OJ/t6DBG1j606X06dKn2X1LoYYF4Ku1X9H3hr64O0t/\nupTeXXqnOb+IlDLVsIgUyPNznmdDwwYO2O6AtMlKKenZuScHDjyQeq/nuTnPBR2OiEScEhbJSGPB\nYbydORZ0AMCm4bEnP3kyw57Rpj4SPmqT6FHCIpJBfUP9xsLSCSNUv5Lq2B2PBeLPV1pfvz7gaEQk\nylTDIpLBq/Ne5aD7DmJo76HM+tGsjHOOlEoNS9Ko20fx4ZIPef7M5xk7dGzafUWkNKmGRaQAHp/5\nOADH7XicJkhrwrE7xK+yJH9OIiL5oIRFMirlsWB357GZjwHxhCU8YkEHsFHy5/LEJ09kvBoTVaXc\nR8JKbRI97YMOQCTMPljyAVUrq+jXrR/7b7t/0OEEItNVpYaGBgb0GMDCVQt55/N32GubvQoUmYiU\nEl1hkYwqKiqCDiEwj82IX105ZsQxIZjdNlVFAc/laV7xhKbUh4VKuY+EldokepSwiKTx+Cfx/4CP\n3+n4gCMJt+SwUKkmLCKSf0pYJKNSHQuuWlFF5ReVdO/YnUOHHBp0OI3Egg7gGw4efDA9O/Xko6Uf\nMXv57KAfLAiEAAAXFklEQVTDKbhS7SNhpjaJHiUsIs144pMnABg3fByd23cOOJpw69iuI+NHxCfV\ne2LmEwFHIyJRpIRFMirVseCNtzPvEKa7g5Iqgg5gMxvrWD4pvWGhUu0jYaY2iR4lLCJNWPr1Ul79\n7FU6lHVg3PBxQYdTFI4adhQd23Xk9c9eZ/HqxUGHIyIRo4RFMirFseB/fvpPGryBQ4ccSs/OPYMO\npwmxoAPYTHmncsZuPxbHmTRjUtDhFFQp9pGwU5tET94SFjPrb2Z3m9lbKev6mNmdZnZZYlu/fJ1f\npC0e/vhhAE7Y6YSAIykup+5yKgB//+jvAUciIlGTt2cJmdmJwDrgKnffO7HuDuBFd3/EzCYAp7j7\nWU18Vs8SksAs/XopW//f1pgZn1/8OX279t1sn8xT9EfnWUKZjpvaV2vW1dDvhn6sr1/P/J/MZ0D5\ngDSfFZFSEepnCbn7JGB1o9XjgKmJ928A4/N1fpHWmjRjEvVez9jtxzaZrGzS/GRqpaq8Uznjho/D\n8Y1XqUREcqHQNSz9gFWJ9zVAbzNTHU3IldpY8N8+/BsAp408LeBI0okFHUCzSnFYqNT6SDFQm0RP\noZ8ltAToQTxZKQdWuHtDUztOnDiRwYMHA9CrVy9Gjx698Ta15D9ELRdmubKyMlTx5HN5Qc0CXom9\nQod2HTbO3trc/psklysaratoZntrl1OPXZlhe6bPp25PrmtdfI1/PuWfl9Npfife5E2qV1ZTXVn9\nje1hau9cLVdWVoYqHi1vEpZ4Sm05+b66uppcyVsNC4CZVQA3pNSw3A5McfeHzexo4CR3P7uJz6mG\nRQLxu6m/46LnL+KEnU5g0inN3+kSr2EprlqTQtSwJJ32yGn8/aO/c/3h13PpmEvTfF5ESkGoa1jM\n7CDgTKC/mV1hZp2BK4CxZnYlcDxwSb7OL9IayeGg00eeHnAkxS05nFZKw0Iikl/5LLp9xd2/6+7b\nufu17r7W3Ve4+/nu/mt3P9fdl+br/JI7jS+xRtWc5XOYvmg63Tt2L4LJ4mJBB5DWUcOOorxTOe9+\n/i6zvpwVdDh5Vyp9pJioTaJHBa8iCQ99+BAQn2K+a4euAUdT3Dq377xxqn5dZRGRXMhrDUtrqYZF\ngjDq9lF8uORDJp8+eeOD/JqjGpZN25vrq0/PeprxD45n5y135sPvf5jF3DUiElWhrmERKSYfLP6A\nD5d8SO/OvRk7dGzQ4UTC2O3H0q9bPz5e+jHTF00POhwRKXJKWCSjUhgLvue9e4D4HCId23UMOJps\nxIIOIKMO7TrwnV2/A2z6+UZVKfSRYqM2iR4lLFLy1m1YxwP/fgCA7+7x3YCjiZZzdz8XiN99VVtX\nG3A0IlLMlLBIRskJgaLqiU+eYPma5ey21W7ssfUeQYeTpYqgA8jKzlvuzH7b7kfNuhomfRzdJzhH\nvY8UI7VJ9ChhkZJ397t3A/GrK8nCUDNL+5LsnTs6fpXlnspoDwuJSH4pYZGMojwWXL2ymhfnvkin\ndp04Y9QZjbY293DDMNzBFgs6gKydOvJUurTvQqw6xpzlc4IOJy+i3EeKldokepSwSEm79717cZwT\ndz6R3l16Bx1OJJV3KufkXU4G4L7K+4INRkSKluZhkZJV31DP4JsHs6BmAVPOmsIhQw7ZuC39PCtQ\njPOlFHoellSvzHuFg+87mG3Lt6X6gmralbXL+BkRiQ7NwyLSBi/MfYEFNQvYvvf2HDz44KDDibRv\nDfwWw/oMY0HNAp6f83zQ4YhIEVLCIhlFdSw4WWx73u7nUWbF1hViQQfQImbGOaPPAeD2t28POJrc\ni2ofKWZqk+gptt/SIjkx/6v5PD7zcdpZO87e7eygwykJ393ju3Rq14nJn04uiQciikhuKWGRjKI4\nn8Et026h3us5eZeTGVA+IOhwWqEi6ABarF+3fpy565k4zs3Tbg46nJyKYh8pdmqT6FHCIiWnZl0N\nd717FwAX739xwNGUlp/s9xMA7q28l+VrlgccjYgUEyUsklHUxoL/9O6fqFlXw0GDDmKvbfYKOpxW\nigUdwEYtmWBvl367cMTQI6itq+WP7/wxgGjzI2p9JArUJtGjhEVKyoaGDdw07SZAV1dyp2WT6yWv\nstz61q3U1dcVID4RiQLNwyIl5aEPH+L0SaczYosRzPjhjGbvDtI8LLk5blP92N3Z5bZdmLFsBg+e\n8CCnjzo9zfFFJAo0D4tIC7g7/zf1/wC4aL+LivBW5mgwMy7c70IAfvvmb7OaeE5ERL+xJaOojAW/\n+tmrvL3obfp27ctZu50VdDhtFAs6gDb5zq7fYYsuW/D2oreJVceCDqfNotJHokRtEj1KWKRk/PrV\nXwPwg71+QJcOXQKOprR16dBl41WWn7/0c11lEZGMVMMiJWFK1RQOe+AwyjuVM/fHc9mi6xZp91cN\nS26Om64fr1q3iu1v2Z5ltcuYfPpkxo8Yn+Y8IlLMVMMikgV35/J/XQ7ApQdcujFZacntuJJ7PTr1\n4IoDrwDgyilX0uANAUckImGmhEUyKvax4MdnPs5bC99iq25bccF+FzTa2rJbcsMjFnQAOfH9vb/P\ntuXb8v7i93nk40eCDqfVir2PRJHaJHqUsEikbWjYwBVT4n/F/+KgX9C9Y/eAIyotma5idW7fmV8e\n9EsAfvHSL9jQsCHIcEUkxFTDIpF2z3v3cN6T57F97+2Z8cMZdGzXceO29HUq4awJidJxk328rr6O\nnf6wE3NWzOFPx/yJc3c/N835RKQYqYZFJI21G9ZyVewqAP77kP/+RrIi4dGhXQd+dcivALgqdhWr\n168OOCIRCSMlLJJRsY4FX/fqdSyoWcBuW+3GaSNPCzqcHIsFHUBOnTbyNPbcek8W1Czgly/9Muhw\nWqxY+0iUqU2iRwmLRNKHSz7kuteuA+CWb9+iWW1DrszKuOvouyizMm6edjPvLHon6JBEJGRUwyKR\nU99Qz5h7xjBt4TT+c8//5PYJtze5n2pYgj1uU3384ucu5rdv/pbd++/OW997i/Zl7dOcW0SKhWpY\nRJpw61u3Mm3hNAb0GMD1Y68POhxpgWsOuYZBPQfx3hfvccu0W4IOR0RCRAmLZFRMY8FVK6q4csqV\nANw+/nbKO5UHHFG+xIIOIC+6d+zObeNvA+K3OVevrA42oCwVUx8pFWqT6FHCIpHR4A2cP/l8autq\nOXWXUzl6h6ODDklaYdzwcZy6y6nU1tVy9uNna24WEQFUwyIRcnXsaq55+Rr6dOnDjB/OoF+3fllM\nsx+dmpBiO266Pr549WJ2v3N3Pl/9OZfsfwk3HHFDmhhEJOxUwyKS8OQnT3LNy9dgGA+e8CD9uvVL\n2Vqs0+9HW7pZcPv36M8/Tv4H7cvac+PUG4t62n4RyQ0lLJJR2MeCZy6byZmPngnAtYddy5HDjgw4\nokKIBR1ADjSXSMaTyQMHHsiNY28E4JwnzmHG0hnBhJmFsPeRUqQ2iR4lLFLUatbVcNxDx7Fq/SpO\n3vlkLhtzWdAhSQ79eN8fc9rI01i9fjUn/OMEatbVBB2SiARENSxStNbUreHYh47lhbkvMLLfSKae\nN3Wzhxu2fq6V4qsJidpxk78DVq9fzb5378vHSz/mgO0O4NkznqVHpx5pPisiYaMaFilZtXW1HPPQ\nMbww9wW27Lolj536mJ7EHFHdO3Zn8umT2a58O96Y/wbjHxzP1+u/DjosESkwJSySUdjGgmvrajn6\nb0fz4twX2arbVsQmxhjWZ1jQYRVYLOgACmpI7yFMOXsKA3oM4NXPXuXovx1NbV1t0GFtFLY+ImqT\nKFLCIkVl1bpVTHhwAlOqptC/e39eOvsldt5y56DDkgIY1mcYU86ewtbdt+al6peY8OAElq9ZHnRY\nIlIgqmGRovHRko846eGTmLlsZvw/rbNfYoe+O6T9jGpYive4zf0OmLlsJhX3VbD468UM6TWEx059\njN3675bmWCIStFzUsChhkdAzM9gVmAB0BJYADwFZ/3FdXP9R67jJ7c2rXlHNif84kXc+f4cu7btw\n19F3ceauZ6b9jIgER0W3UhBBjgWvXLsSjgZOIJ6svH8m/HE1LE+d/C39fB7RFAs6gAJovk0H9RrE\na+e+xjmjz2HNhjV857HvcN4T57GsdlkgkapeInzUJtGjhEVCqb6hnrveuYvhtw6HPYENHeGfd8Jj\nD0Bdt6DDkxDo3L4zfzrmT9wx/g46tuvIPZX3MOLWEdw+/XbqG+qDDk9EckxDQhIq7s7zc57nZ//6\nGZVfVMZXVgPPvA+Ld23iE1EcCtFxM3+2kb7At4Gh8cU9tt6Dqw6+igkjJlBm+rtMJGiqYZGcy/yw\nQNI+tK61Vq9fzQPvP8Ctb93KzGUzAdiufDtuPOJGTh15KsX3H6qOW/jjOuxUxnbf2475NfMBGN5n\nOBfudyFn73Y23TrqypxIUJSwSM41fVdNDKhI7pGzhKW2rpbn5zzP4zMf5/5p90PnxIYa4C1gGlCX\n3DsK/6Hm8rgxNrVJLo/bkm3hPO7qdau58507uWXaLcz7ah4APTr2YMKICZy080kcNewounbomubc\nLReLxaioqMjpMaVt1CbhUrQJi5kdDhxP/H4Pd/dfNdoeiYTF3Vm8eHHafXr16kXnzp3T7lNITScs\nNwEXJvdodcJSW1fL9IXTmbpgKq/Pf51/zf0Xazas2bTDZ2Ng2o9hxvHQ0CE1qiZiymZbWz4b9uOm\ntkkuj9uSbeE8bvLf54aGDTw24zF+9+bvmLpg6sY9urTvQsXgCsZsN4YxA8ewz4B92pzA3HTTTVx4\n4YWZd5SCUZuES1EmLGbWFXgf2Nnd68zsEeA2d5+Ssk8kEpaGhgbatWtHly5bNbl9/foVPPzwQxx/\n/PEFjqx5TScsVydekOl20zV1a1i0ahELaxYy76t5fLLsE2Z+OZOZy2YyY+kM6v2bxZD7DtiX43Y8\njsuPvxyWhes/vnAf92o2tUkuj9uSbeE8blO/O+Ysn8OkGZOYNGMSby186xvb2lk7hm8xnJmvzoSl\nwDLiV/m+AlYBG9KEmaUo/D4rNldffTVXX3110GFIQi4Slva5CqYF9gfmuXvyYv/rwHhgSvMfKU6L\nVi2CrWENTzW5vVu3S5hTO4d3Fr3T5HZP8wt97733/uaKJv4ZTH1zKu6O49/4etDBB236jBG/Vyz5\ndQegbBK0q4OyuvjXL6bDoN9B+7XQAej4E+i4Ov7q9BV0WQ5dv4Qus+jy6y7N/0AagMXAfGABUAXT\nVk1jGtOa/4xIDgztM5RLx1zKpWMuZWHNQl6Z9wqvz3+d1+e/zr8X/zteN7UT8Vdja3pB7UpYsy/U\nbgHrymF9D1jfPf6q6wJVV8DWt0F9x/jVwfqOUN8BGtqDH8czs56hXVk72lk7yqyMMivDzOJfMcwM\nS3TiZB1Zc8up65pjTf1CKDGLVi1q9ndrNso7lTN8i+E5jEjaKogrLKcDp7j78Ynl84AKd/9Oyj6R\nuMLyiym/4H9e/Z+gw2i7x4gP4GWjvj2s2gZWDYCabWHZDrBsR1h2JixbneaW5PD9pR7u404E7svD\ncVuyLazHbaEOwBbAlsCWV0Kf2VC+AMrnQ49F0C6LSywt6SNSGG1tk1ngfyn+/4fColiHhA4FrnD3\nwxPLFwHbuPslKfvoX4mIiEiEFOOQ0JvAIDPr6O7rgQOAP6Tu0NZvSkRERKIlyLuETiJe4rbe3f+7\n4EGIiIhI0QjlPCwiIiIiqTRntYiIiIReEDUsAJhZH+A6YC4wnHgh7pIm9hsG3AjUufvJKesHAz8H\nZgODgYvd/eu8Bx5RLWiPM4HRQD0wx93vSqy/g/hN0Uk/cvcP8x54xGQxqWJn4v1hAfF2+o27z0ps\na7JtpG3a2CbVQFVi1wWpd0NK62Rqj8Q+pwK/Bi5w96dS1quP5EEb26SabPuIuwfyAu4ATkq8nwA8\n0Mx+/w/4HvBwo/XPAnsl3v8X8KugvpcovLJpD2Bb4L2U5beAYYn3VwX9PRT7C+gKzAI6JJYfAQ5t\ntM/PgEsS70cCr2RqG72CaZPE8lVBfw9RemXZHoOJP7fiJWBcynr1kZC1SWLbVdmeK8ghoXFAcr7s\nN4hPHrcZd3+QlCfKAJhZB+Jzt7ydWJWcfE5aL5v2OBJInYlpKvFn5AL0MLMrzOxSM/uhmbXLX6iR\n1dykiqk2tpPHr2DtZmY9SN820nqtbZPuiW3fMrOfmtmvzGz/gkQcbRnbw92r3T3WxGfVR/KjLW0C\nLegjeR0SMrNngabmpf8l0I/4xNcQnwi7t5mVuXtDFofuC6Q8hIZVieNJGjlojy1T9knul/y5/xV4\n390bzOx64HIgArPmFVRqG8A3f76Z9knXNtJ6bWmT1cDl7j7dzLoA75rZBHefk8+AIy6b9miO+kh+\ntKVNAH7m7m9n00fymrC4+1HNbTOzJUAP4t9cObAiTbLS+FamZUDqHPDlxMfOJI0ctMcSYFjKck/g\n08Sx30tZPwW4DCUsLbWYeBsk9UysS7WEePsklSf2abZtpE1a2yZLANx9euLrGjOrBMYASlhaL5v2\naI76SH60pU1IjpRk00eCHBJ6ivikcRAPcDKAxQ1stO83JpJLXHp6ycz2bvx5abVs2uM5YM+Uz+wH\nPJPY74aU9SOIF0NLy2ycVDGxfADwlJn1Tgz7QLyd9gcws1FApbuvBp6nmbaRNml1m5jZoWZ2ZMqx\nhqF+0VbZtEeq1P87mv39JW3S6jZpaR8JbB4WM+sNXA/MA4YCl7n7UjMbTbzgc9fEfscAZxH/T/AB\nd78xsX4Q8aGMucB2wEXuXlv47yQaWtAeZwB7Ea+y/8Td/5hYfw/xrLqWeFtd5O5LC/+dFLemJlVM\nDLEtd/frU+5I+Zx45/61u89OfLbJtpG2aW2bmNlI4o/UfgfYBljo7r8J5JuIkEztkdjn58C5wKvA\nX939+cR69ZE8aG2btLSPaOI4ERERCT1NHCciIiKhp4RFREREQk8Ji4iIiISeEhYREREJPSUsIiIi\nEnpKWERERCT0lLCIyEZmdoaZLQ/gvLuZ2cGFPq+IFA8lLCKykbv/FfgqgFPvTvxpriIiTcrrs4RE\npLiZ2fnAcGAl8YfHXZR4wOXPgJ2BmcCBwDrgx+4+P+WzfweGAC8Tn677H8CLwKXAB8COwK+JPyTw\nWKCXmTlwZ+L1nrtfY2bXAvu7+yFmdg5wLXAH8RmZdwAeJj5b5i+JT73eEzgmEefvgQWJdQvd/fd5\n+UGJSN5pplsR+QYzq3L3IWa2E/CQu++WWP8HoBKYCvzd3XdJrP8z8IK7P9DoOIOIP2p+ENCZ+NTb\nDwA/cfc3zayCeJJzgpmdDQx292sSn924nDjOfe5+SGLbS8D17v6sme3h7u+aWRVwhLvPMrPJxJOX\nqkS8+7v7IjPb392n5u8nJyL5pCssItKckUB1yvIcYDfiV1tSH1A2l0YPKE0wYLa71wNfA7MSDwc8\nIlGv0oVNj6Vv6vOk2TYDwN3fTa5w91mJt0uB7u6+wswuAO5OPLpeTw8XKWJKWESkOR8QH9JJGg68\nTTxZGJ6yfnviSUtTGl/CfR94zN0/SDzd9fjE+g3EHw7ei/ij6lcB5YltjZ/eng0zs57AUncfZ2a7\nAA8ST7hEpAgpYRGRjRJPsy03s/Pd/S4zu9XMfke8EHcdcI+7u5n9xcweJJ6AdGLzxATgu8BAM5vo\n7vcl1p0HXGxms4Gtide1ALwFnAHcAPyeeK3L98zs0sR5ByYeQ19PfIjph2b2v+6+zMxOTsQ8MRHP\nrsCZxBOrC83sQKAv8Ltc/ZxEpPBUwyIiLWZme7n724n3fwL+5O5vBByWiESYrrCISGtcYGYzgXbA\nAiUrIpJvusIiIiIioaeJ40RERCT0lLCIiIhI6ClhERERkdBTwiIiIiKhp4RFREREQu//A31B+nek\nYgzCAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac4ba2e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "return_histogram(DAX)\n",
    "plt.savefig('../images/03_stf/DAX_histogram.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac47f8d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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sooDvUUkh7RjFYEYxmJn04mXKqaQdsetO9Gfy5DxU16L6bNX1J6JFI0yfZRhY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\nxph6scJhjDGmXqxwGGOMqZf/DyzWa9stGqUiAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac5068790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "return_qqplot(DAX)\n",
    "plt.savefig('../images/03_stf/DAX_qqplot.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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88H3yZJgyZSJr1gznww/DXJtttqktYPr1Cz03ZuH3Ytttw9ltvXuHOTUdOoR9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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac472e750>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "realized_volatility(DAX)\n",
    "plt.savefig('../images/03_stf/DAX_realized_volatility.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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rrzTdW7WyHPIXXJD6eI0bQ69etu+77rLY3bEE2+26q8USTYtkVmgh/fAu9YIi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\nnKoOA8YAD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M7jdAZCoDOEU2+nMxACnSGceodRZwin3mHU2Q+y1uCM\nQWusNt+LwEasXeWCYEVKO07ncOgM4dTb6RwOnSGceodRZwin3mHUudpkbdJQRUSkNfAlMAUYrSGo\nV+V0DofOEE69nc7h0BnCqXcYdYZw6h1GnZMlVzycZVg9vvs1PGUEnM7hIYx6O53DQxj1DqPOEE69\nw6hzUuSEh9PhcDgcDofDkbtkc1kkh8PhcDgcDkce4AxOh8PhcDgcDkdacQanw+FwOBwOhyOtOIPT\n4XA4HA6Hw5FWnMHpcDgcDofD4UgrzuB0OBwOh8PhcKSVXKnD6XA4HDmFiBwIPADUBj4Eto++dZ+q\n/ppgv2tVdXgGRHQ4HI6M4epwOhwOR5oQkduBHVT1xuh2L2AIcJCqbomzz4+quksGxXQ4HI604zyc\nDofDkV6k/Imqjo0aob1E5DLgM2BP4EVV/VhEzgAaR8fMVNXRInIXUBPYAqxR1QcC0MHhcDhSwhmc\nDofDkVkWALsCj0SNzKbAWMzr+YqIDFPVOwFE5Figu6oeG90eLyIfquoPgUnvcDgcSeAMTofD4cgs\n7YHngEIR6QGUAi3ijO0G1BORQdHtkgRjHQ6HI2txBqfD4XCkD9lqQ+QYoC6wG9BWVS8SkTpA/wrD\ntkTH7gMUAQer6rDoa0cAczMhuMPhcPiJMzgdDocjDYjI/sCfgdoiMhioh33nHgG0Ak4TkfuBlUBD\nEemjqm8C74rIg4Cq6kAROUhE7gXWAE2Am4LQx+FwOFLBZak7HA6Hw+FwONKKK/zucDgcDofD4Ugr\nzuB0OBwOh8PhcKQVZ3A6HA6Hw+FwONKKMzgdDofD4XA4HGnFGZwOh8PhcDgcjrTiDE6Hw+FwOBwO\nR1pxBqfD4XA4HA6HI604g9PhcDgcDofDkVb+P/cX5Q+VwKyGAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac4665790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rolling_statistics(DAX)\n",
    "plt.savefig('../images/03_stf/DAX_rolling_stats.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "31"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "count_jumps(DAX, 0.05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "count_jumps(gbm, 0.05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7443426999999999"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "0.0002911 * len(DAX)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8698914"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "0.0003402 * len(DAX)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Implied Volatilities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%run 03_stf/ES50_imp_vol.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "mats = sorted(set(data['Maturity']))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Timestamp('2014-10-17 00:00:00'),\n",
       " Timestamp('2014-11-21 00:00:00'),\n",
       " Timestamp('2014-12-19 00:00:00'),\n",
       " Timestamp('2015-03-20 00:00:00'),\n",
       " Timestamp('2015-06-19 00:00:00'),\n",
       " Timestamp('2015-09-18 00:00:00'),\n",
       " Timestamp('2015-12-18 00:00:00'),\n",
       " Timestamp('2016-06-17 00:00:00'),\n",
       " Timestamp('2016-12-16 00:00:00')]"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "dat = data[(data.Maturity == mats[0])\n",
    "        | (data.Maturity == mats[2])\n",
    "        | (data.Maturity == mats[3])]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 164 entries, 0 to 466\n",
      "Data columns (total 5 columns):\n",
      "Date        164 non-null datetime64[ns]\n",
      "Strike      164 non-null float64\n",
      "Call        164 non-null float64\n",
      "Maturity    164 non-null datetime64[ns]\n",
      "Put         164 non-null float64\n",
      "dtypes: datetime64[ns](2), float64(3)\n",
      "memory usage: 7.7 KB\n"
     ]
    }
   ],
   "source": [
    "dat.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "h5 = pd.HDFStore('08_m76/option_data.h5', 'w')\n",
    "h5['data'] = dat\n",
    "h5.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>Strike</th>\n",
       "      <th>Call</th>\n",
       "      <th>Maturity</th>\n",
       "      <th>Put</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>2014-09-30</td>\n",
       "      <td>3750</td>\n",
       "      <td>27.4</td>\n",
       "      <td>2015-09-18</td>\n",
       "      <td>635.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>2014-09-30</td>\n",
       "      <td>3800</td>\n",
       "      <td>21.8</td>\n",
       "      <td>2015-09-18</td>\n",
       "      <td>680.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>500</th>\n",
       "      <td>2014-09-30</td>\n",
       "      <td>3850</td>\n",
       "      <td>17.2</td>\n",
       "      <td>2015-09-18</td>\n",
       "      <td>725.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>501</th>\n",
       "      <td>2014-09-30</td>\n",
       "      <td>3900</td>\n",
       "      <td>13.4</td>\n",
       "      <td>2015-09-18</td>\n",
       "      <td>772.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>502</th>\n",
       "      <td>2014-09-30</td>\n",
       "      <td>3950</td>\n",
       "      <td>10.4</td>\n",
       "      <td>2015-09-18</td>\n",
       "      <td>818.9</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          Date  Strike  Call   Maturity    Put\n",
       "498 2014-09-30    3750  27.4 2015-09-18  635.9\n",
       "499 2014-09-30    3800  21.8 2015-09-18  680.3\n",
       "500 2014-09-30    3850  17.2 2015-09-18  725.7\n",
       "501 2014-09-30    3900  13.4 2015-09-18  772.0\n",
       "502 2014-09-30    3950  10.4 2015-09-18  818.9"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "data = calculate_imp_vols(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3225.9299999999998"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "S0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1a+jduzcAIDs7G9nZ2Th27BgAtLrW2bNn4e7uLg0k2NLil5uLiwsqKioAAMnJ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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac43d1bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_imp_vols(data)\n",
    "plt.savefig('../images/03_stf/ES50_implied_volatilities.pdf')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Interest Rates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%run 03_stf/EURIBOR_analysis.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "EBO = read_euribor_data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>1w</th>\n",
       "      <th>2w</th>\n",
       "      <th>1m</th>\n",
       "      <th>2m</th>\n",
       "      <th>3m</th>\n",
       "      <th>6m</th>\n",
       "      <th>9m</th>\n",
       "      <th>12m</th>\n",
       "      <th>returns</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2014-09-22</th>\n",
       "      <td>-0.016</td>\n",
       "      <td>-0.012</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.044</td>\n",
       "      <td>0.082</td>\n",
       "      <td>0.186</td>\n",
       "      <td>0.257</td>\n",
       "      <td>0.345</td>\n",
       "      <td>-0.362905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-23</th>\n",
       "      <td>-0.014</td>\n",
       "      <td>-0.012</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.042</td>\n",
       "      <td>0.082</td>\n",
       "      <td>0.185</td>\n",
       "      <td>0.257</td>\n",
       "      <td>0.343</td>\n",
       "      <td>-0.133531</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-24</th>\n",
       "      <td>-0.006</td>\n",
       "      <td>-0.005</td>\n",
       "      <td>0.007</td>\n",
       "      <td>0.043</td>\n",
       "      <td>0.083</td>\n",
       "      <td>0.186</td>\n",
       "      <td>0.257</td>\n",
       "      <td>0.344</td>\n",
       "      <td>-0.847298</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-25</th>\n",
       "      <td>-0.007</td>\n",
       "      <td>-0.006</td>\n",
       "      <td>0.006</td>\n",
       "      <td>0.042</td>\n",
       "      <td>0.082</td>\n",
       "      <td>0.183</td>\n",
       "      <td>0.254</td>\n",
       "      <td>0.342</td>\n",
       "      <td>0.154151</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-09-30</th>\n",
       "      <td>-0.013</td>\n",
       "      <td>-0.013</td>\n",
       "      <td>0.007</td>\n",
       "      <td>0.043</td>\n",
       "      <td>0.083</td>\n",
       "      <td>0.183</td>\n",
       "      <td>0.251</td>\n",
       "      <td>0.338</td>\n",
       "      <td>0.367725</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               1w     2w     1m     2m     3m     6m     9m    12m   returns\n",
       "2014-09-22 -0.016 -0.012  0.005  0.044  0.082  0.186  0.257  0.345 -0.362905\n",
       "2014-09-23 -0.014 -0.012  0.005  0.042  0.082  0.185  0.257  0.343 -0.133531\n",
       "2014-09-24 -0.006 -0.005  0.007  0.043  0.083  0.186  0.257  0.344 -0.847298\n",
       "2014-09-25 -0.007 -0.006  0.006  0.042  0.082  0.183  0.254  0.342  0.154151\n",
       "2014-09-30 -0.013 -0.013  0.007  0.043  0.083  0.183  0.251  0.338  0.367725"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "EBO.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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wH7AnMMM5d4dzrnuKrp+15OXlBS1CYNRG9yZN4PnndcC52qaTX7FC5/UDajf0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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac6aa8b50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "quotes_returns(EBO.rename(columns={'1w' : 'index'}))\n",
    "plt.savefig('../images/03_stf/EBO_quotes_returns.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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cjrN47eLKA8yheh/z3gg596RUpIiIJPTM+mdobm1m1JBR7DRgp1Q+Q1f4SMhU\npORIyPd1UO5hqvfck0/1NMXes9Gu8Kn3Me+NkHNPSkWKiEhCadz9uCNd4SMhU5GSIyHPVyr3MNV7\n7snPpBRi79lo0z31Pua9EXLuSalIERFJKM0re0p0N2QJmdZJERFJ6IDvH8ATq57gkY8/wkEjD3rN\na9VYJwVgW+s2Bl0yiObWZjZesJFB/Qf1LmiRDNTVOilm9oCZ3VX8+mMWMYiI9Ma21m01OZPSr0+/\ntsubS58nEoqspnt+7+7HFL/ekVEMuRPyfKVyD1M9575gzQK2tGxh3LBxDNlhSIXvLlS0dyNN+dTz\nmPdWyLkn1S+jz51sZucDA4F/uPvvMopDRCSRx158DIApe0xJ/bMarXlWJK6sipRL3f0fZtYHuMfM\nNrj7X9vvMGPGDMaOHQvAsGHDmDp1ats15qVqVNuNtV2Sl3hqtV16Li/x1HK7qakpV/FUsv1YS1Sk\nDH1+aKfjV1babuqwTezP86VR38rCNQtzk79+3ivfruef90q3S4+XLVtGb2TeOGtm3wA2ufvF7Z5T\n46yI5NoJPz+B3y74LTd/4GZO3v/k7V6vVuMswJ+W/Il33PAOjhx9JPeceU+ygEUyVDeNs2Y20cw+\n2u6pCYC6wQh7vlK5h6mec+/ddE+hor0babqnnse8t0LOPakspnvWA+8xs1HAUOBpd/9ZBnGIiCTy\n0uaXePrlpxnYbyB7D9879c/ba+e92KHvDrzwygts2LIhQaOuSH3KfLqnM5ruEZE8++vyv3LUdUdx\n6KhD+cfZ/+h0n2pO9wBMuXoK81bO4/6z7uewPQ+rLGCRjNXNdI+ISL1rm+rZPf0re0oOHnkwAA8/\n93DNPlMkaypSciTk+UrlHqZ6zb33lx8XKn7HISMPAeDh5+u7SKnXMa+GkHNPSkWKiEiFHltZuzVS\nSg4Z1RhFikgl1JMiIlKBVm9l6DeGsrF5I6u+sIoRg0Z0ul+1e1JebX6VId8YgmFs+NIGBvYfWFng\nIhlST4qISA0sXbeUjc0bGTVkVJcFShoG9R/EfiP2o8Vb2qabRBqdipQcCXm+UrmHqR5zn7dyHtDb\nqZ5C2yMz6/GrpK15to6nfOpxzKsl5NyTUpEiIlKB0lmMybtPrtIRvYevsrbmWV3hI4FQT4qISAVO\n/uXJ/OrJX3HDtBs4Y8oZXe4Xtyelkr6Ve5++lyN/fCRTXzeVf37in5WELZIp9aSIiNRALe9+3NHU\n103FMB7yCNQaAAAPDUlEQVRf+Tibt22u+eeL1JqKlBwJeb5SuYep3nLfuHUji9Yuol+ffkwaMakX\nRyoketfgAYOZNGIS21q3Me/Feb34/OzU25hXU8i5J6UiRUQkpidWPYHj7DdiPwb0HZBJDFovRUKi\nIiVHmpqasg4hM8o9TPWWe/WmepoSv7Pem2frbcyrKeTck1KRIiISU5b9KCWNsjy+SBwqUnIk5PlK\n5R6mesu9ekVKIfE7Dxp5UFvz7JZtW3oZR+3V25hXU8i5J6UiRUQkBnev0kJuvTN4wGAmjphIc2tz\nWzwijUrrpIiIxLBi/Qr2/M6e7DJwF1Z/YfVrVoLtTBrrpJSc8esz+Om8n/KD9/yATxz6iZ5CF8mc\n1kkREUlR+6mengqUtKkvRUKhIiVHQp6vVO5hqqfc73/2fgCm7jG1Ckcr9Ord9XwZcj2NebWFnHtS\nKlJERGL4zfzfAPCufd6VcSRw0Oui5tl5L86ry+ZZkbjUkyIi0oOl65Yy/nvjGTJgCKu+sIod+u3Q\n43vS7EkBmHTlJOavmc9DZz/UdmZFJK/UkyIikpLbF9wORGdR4hQotVAqTB55/pGMIxFJj4qUHAl5\nvlK5h6leci9N9Zw08aQqHbHQ6yOUmmf/vuLvvT5WLdXLmKch5NyTUpEiItKNdZvWcfeyu+lrfTl+\nwvFZh9PmbePeBsCtT93K1patGUcjkg71pIiIdOOnj/2UM249g2PHHcufp/859vvS7kkBmHL1FOat\nnMecD87hpEnVOssjUn3qSRERSUH1p3qq58NTPgzADY/dkHEkIulQkZIjIc9XKvcw5T33Ldu2cOei\nOwE4ceKJVTxyoSpHOX3K6fSxPty+4HbWbVpXlWOmLe9jnqaQc09KRYqISBcKywps2LqBKXtMYeyw\nsVmHs51RQ0bxtnFvY2vLVn75xC+zDkek6tSTIiLShXPuOIerH7qaLx/1ZS4+5uKK3luLnhSAGx69\ngelzpnPEXkdw70fvrShGkVpRT4qISBW5O7fNvw3IZz9KybT9pjGo/yDue+Y+Fq9dnHU4IlWlIiVH\nQp6vVO5hynPuDz//MCs2rOD1Q17PwSMP3u51M+v2q3uFqsU5eMBg3r/f+wG48bEbq3bctOR5zNMW\ncu5JqUgREenEb56Kruo5ceKJ3RQd3s1X7bS/ykdT5dJI1JMiItJBS2sLk6+ezJOrn+TO0+/kuH2O\n226fnntOatOTUop39OWjeW7Dc9z30ft4y15v6eGYIrWlnhQRkSr5zgPf4cnVTzJy8EiaxjZlHU6P\n+vbpy4cO+BAQNdKKNAoVKTkS8nylcg9THnN/fOXjXPiXCwG49sRrU7qhYKHqR5x+4HQAbnriJl7Z\n+krVj18teRzzWgk596RUpIiIFG1t2cr0W6eztWUrZx98dq7u1dOTyXtM5o2j3si6zes47Ven0dLa\nknVIIr2mnhQRkaKL7rqIWffMYtywcTz6yUcZssOQLvfNU09KyYI1Czj8/w5n7aa1nPumc/neu78X\n630iaVNPiohILzy44kFm/3U2hnHd+67rtkCptZ4udy5dfbTvrvsy54NzGNB3AFc8eAXf+7uKFKlv\nKlJyJOT5SuUeprzk/srWV5h+63RavIXzDj+Po8YclfInFircv7tLnV97luXIMUfyoxN/BMDMO2e2\nLUiXF3kZ8yyEnHtSmRQpZvZ2M7vKzL5iZhdlEUMezZ07N+sQMqPcw5R17lu2beHKB69kwhUTmL9m\nPvvvtj9fP/brNfjkdPM+fcrpXNx0MY5z2q9OY85Tc3LTo5L1mGcp5NyT6lfrDzSzQcDVwP7u3mxm\nt5jZse7+l1rHkjcvvfRS1iFkRrmHKavcm1uauW7udcy6ZxbPrH8GgINHHsyN025kx347xlgxtrfS\nz/u/jvovFq9bzPWPXs+0m6ax59A9OXPqmZw59UzGDR+X+ud3RT/vUomaFynA4cByd28ubt8HvAeo\n+yJlxfoVvPDKC4nf/9yG53j4uYerGFH9UO7KPQ7vpMnU3XGcVm/FPfre3NrM5m2b2dS8ic3bNrNh\n6waWrFvCwrULWbhmIYvWLmLTtk0AHLD7Acw6ZhYnTTypQ3ESp+k1PzotrPoChwGHwLM8y6x7ZjHr\nnlm8+fVvZtzwcYwaPIpRQ6KvnQbsxIC+AxjQdwD9+/SnX59+Ub8L9prv231uhX8O+nlv3NwPGnkQ\nfay6EzQ1v7rHzE4DTnH3acXts4Amd/9wu33q8uqeC/98IbPvnZ38ALcC06oWTn1R7mHKMvdVwN3A\nE3RRj/T2ypzuXp8BXBfjGHE+J8Y+1gpj+sLBwH5A/x4Olyb9vDeszRdu7nJdoaRX92RRpBwLXODu\nby9unweMcvfPt9un/ioUERER6VKSIiWL6Z4HgDFmNsDdtwJvAa5qv0OSRERERKSxZLKYm5m9HTiZ\n6ITrVnefVfMgREREJNdyueKsiIiIiBZzExERkVzKoiflNSy6pu3jwMXAMe7+ry72OwOYCrQAi939\nmtpFmQ4z2wX4BrAEmEDUULyyk/2+DZQu2e7n7v9RuyjTUUHuhxFdor4JaAI+6u7P1jDUqoube3Hf\n3YF/ArPd/arO9qkncXI3szcCnyXKeyLwoLtfW+tYq6E4tT0NWAm4u1/c4fUdgW8BzxL9efy3uy+s\neaApiJH7F4E9gOeBQ4GL3H1+zQNNQU+5t9vvdOAGYLC7v1rDEFMRJ+/ixTKtwChgV3c/q9uDunum\nX0SFx4HAUqIF3jrbZ0/gn+22HwT2yTr2KuT+A+Dk4uP3Aj/pZJ83A3Pbbc8F3pR17DXKfSjw53bb\n44BBWcdei9yLr/UBrgHmAP+eddw1HPcTgEOLj/sBa4Fdso49Qa6DgIVA/+L2LcCxHfb5T+DzxccH\nAPdkHXcNc7+43eNTgNuyjrtWuRef3w/4evEf7Eb4vRZnzD8MfLbd9uSejpv5dI+7z3X3R3vY7Tig\n/Qo49wPvTi+qmjmeKBeAvxGdMehoNTDYzPqaWT9gcPG5ehcn9+OBl8zsc2b2X8AbvQH+t0G83AHO\nB64F1tHzQhn1osfc3f12d3+ouGnANspnEutJVwtXttf25+HujwMHmtng2oWYmh5zd/f2t0TpC2yo\nUWxp6zH34srrXwC+VuPY0hTn5/10on/PPmNmlwA9/j6vyXSPmd1JdFqvo4vc/fYYh9iN1/4Arwd2\nr0Zsaesud6IcSnmtB4abWR93by3t5O6Lzewa4GaiX9bXuvuSlMOuit7mDowh+sE/3d03m9lfzGyV\nu9+VauBV0Nvci+sJveruD5rZOeRtedNuVGHc2/s0cIm71+M/YO1zhc5/b3W1zyvphpa6OLkDYGYD\ngOnAOTWIqxbi5H4J8DWPbg0DdfT3uxtx8h4N7Obul5jZ3sCdZravF0+rdKYmRYq7v6uXh1gJ7NNu\ne2dgQS+PWRPd5W5mK4EhRIM5FFjX8Ze1mZ1I1Kvz7uL2LWb2QXe/KcWwq6K3uQMvA/PcfXNx+wHg\nKCD3RUoVcj8BeKE4b38AMMzMNrr7dSmFXDVVyL2074eAge7ei2WcM/UiUa4lOxefa28l0Z9DydDi\nc/UuTu6lAuX7RL1JS2sUW9q6zd3M9gSGAae2u83A58zs9+5ez2vmxxnz9US/x0v/Ad8J2At4uquD\nZj7d00HbiFlkdHHz/wGHtNvvMOD3tQwsJXcQLWYHcATwW9gu9z2B9jcEep6oGq13cXK/i+hsSslo\noBEa63rM3d0/5+6XuvulwDzgj/VQoMQQZ9wxs48R/Y9rtplNNrMJtQ+119oWrixuvwW4w8yGm1np\nl/kdRGcLMbPJRP1n9X4WBWLkXpzy+CHwbXf/p5m9P6NYq63b3N39WXc/s93fb4j+DOq5QIF4P+9/\nBsYDFKc1+/Laf9+2k/k6KWY2jOiU7ueIupx/7u5/N7OpRE11U4r7nU7UAd4CzHf3/80q5moxs+HA\npcByYG/gi+6+qn3u7f4iLydqsNoH+ESdnv5uEyf34n6fIrrC42Wi5rIvZBVztcTNvbjvR4F/J7r6\n42p3vzOLmKsl5s/8ScD1wCNE/3HZFfi0u9+TVdxJdbZwpZldCqx190vbXd3zPNHf7UvcfVF2EVdP\nN7mvcffLzOzXwP5EuUP09/vNGYVbVT2Ne3GfEcAnifpSZgHXuPtzWcVcDTF+3ocC3yG6um80cGtP\nv9MyL1JEREREOpO36R4RERERQEWKiIiI5JSKFBEREcklFSkiIiKSSypSREREJJdUpIiIiEguqUgR\nkTZmdrqZrc3gcw80s6Nr/bkikm8qUkSkjbv/lGjhvFo7CGjK4HNFJMdqcu8eEalPZvZxYALwEtGN\nPs9z91Yz+0+i1UKfAt4KbAE+4+7PtHvvTcA44G6iJbJ/CfyJ6O7O84BJRDdaewU4iej+RE60wvIP\ngX+6+9fMbDZwuLsfY2ZnArOBHxCtWDuR6OabXyW6geEhRPcMObEY55VEq/XuDKxw9ytT+YMSkVRo\nxVkReQ0zW+ru48xsP+AX7n5g8fmrgLnA/cBN7v6G4vM3EN1b6CcdjjOG6HbtY4AdgVHAT4DPufsD\nZtZEVNj8m5l9BBjr7l8rvrdtu3ic69z9mOJrdwGXuvudZnawuz9iZkuBd7r7QjP7LVHBsrQY7+Hu\n/pyZHe7u96f3Jyci1aYzKSLSlQOAZe22FwMHEp1VaX9/mSV0fqt5Axa5ewuwEVhYvIneO4v9JwMp\n39q9u1vVd/bakwDu/kjpCXdfWHy4Chjs7uvM7LPAtWY2EPh6N58hIjmkIkVEujKPaLqmZALwEFGB\n0P6uxOOJCpXOdDxV+yjRTcXmFe+WOq34/DaimyEPI7rd+wZgaPG1JHf9NjPbGVjl7seb2RuAnxEV\nWSJSJ1SkiEib4t3Gh5rZx939GjO7wsy+Q9RMuwX4kbu7md1oZj8jKjp2YPtiBOBjwGgzm+Hu1xWf\nOwv4DzNbBIwk6lMBeBA4HfgmcCVR78rZZnZ+8XNHm9lxRHdBHwP8u5ld5u6rzewDxZhnFOOZApxB\nVEzNNLO3AiOI7r4qInVEPSkiUjEzO9TdHyo+/j/g/9z9bxmHJSINRmdSRCSJz5rZU0Bf4FkVKCKS\nBp1JERERkVzSYm4iIiKSSypSREREJJdUpIiIiEguqUgRERGRXFKRIiIiIrn0/wGiCRrIsl8cFAAA\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac5153410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "return_histogram(EBO)\n",
    "plt.savefig('../images/03_stf/EBO_histogram.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac489b3d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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RpsZ4FVgKvE/3pC5ctmlp9Woj9DXUEGYWmUgoDGG+pcGDX+KYY0Zzyy0fVOe0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\niIhIXioQIiKSlwqEiIjk9f8BJGBNf/eBKkoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac489b250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "return_qqplot(EBO)\n",
    "plt.savefig('../images/03_stf/EBO_qqplot.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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PR56bq4WzQuUkqanW8RIJCUDfvtrFon+4ultxiYykt1shtDfUiRPJ1Vi7tpZq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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7feac4090390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_term_structure(EBO)\n",
    "plt.savefig('../images/03_stf/EBO_term_structure.pdf')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
    "\n",
    "<a href=\"http://www.pythonquants.com\" target=\"_blank\">www.pythonquants.com</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a>\n",
    "\n",
    "<a href=\"mailto:analytics@pythonquants.com\">analytics@pythonquants.com</a>\n",
    "\n",
    "**Python Quant Platform** |\n",
    "<a href=\"http://quant-platform.com\">http://quant-platform.com</a>\n",
    "\n",
    "**Derivatives Analytics with Python** |\n",
    "<a href=\"http://www.derivatives-analytics-with-python.com\" target=\"_blank\">Derivatives Analytics @ Wiley Finance</a>\n",
    "\n",
    "**Python for Finance** |\n",
    "<a href=\"http://python-for-finance.com\" target=\"_blank\">Python for Finance @ O'Reilly</a>"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [Root]",
   "language": "python",
   "name": "Python [Root]"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
